The hosts must make do without first-choice shot-stopper Alisson Becker for the next couple of weeks due to the thigh issue that the Brazilian sustained in last weekend's draw with Manchester City.
As a result, Kelleher - fresh from keeping a clean sheet in Thursday's 4-0 Europa League thrashing of LASK Linz - will act as Liverpool's last line of defence this weekend, where he will play a Premier League game for just the sixth time in his career.
Alisson joins Andrew Robertson (shoulder), Stefan Bajcetic (calf) and Thiago Alcantara (hip) in the medical bay, while Diogo Jota is also facing an unspecified period of time on the sidelines with his own muscular issue from last weekend's draw.
Ibrahima Konate should be good to go again after being taken off in the 56th minute against LASK, but with Klopp erring on the side of caution with the Frenchman, a well-rested Joel Matip could join Virgil van Dijk in the rearguard yet again.
Trent Alexander-Arnold could supposedly face punishment for goading the Man City fans after netting Liverpool's equaliser last weekend, but the right-back will be fine to line up here as things stand, while Kostas Tsimikas continues to stand in for Robertson on the left.
A refreshed midfield ought to see Dominik Szoboszlai, Alexis Mac Allister and Curtis Jones - who was given the nod over Ryan Gravenberch against Manchester City - link arms again, while Luis Diaz is primed to deputise for Jota on the left.
After netting for the 199th time in Liverpool colours in midweek, Mohamed Salah was substituted before hitting the 200 mark, but the Egyptian will have another bite at the double-century cherry on Sunday, most likely with Darwin Nunez alongside him as the Uruguayan seeks to displace Cody Gakpo.
Liverpool possible starting lineup: Kelleher; Alexander-Arnold, Matip, Van Dijk, Tsimikas; Szoboszlai, Mac Allister, Jones; Salah, Nunez, DiazNo Data Analysis info